1338365088 has 36 divisors (see below), whose sum is σ = 3805976538. Its totient is φ = 446121600.

The previous prime is 1338365087. The next prime is 1338365113. The reversal of 1338365088 is 8805638331.

1338365088 is a `hidden beast` number, since 133 + 8 + 3 + 6 + 508 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 774397584 + 563967504 = 27828^2 + 23748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1338365088² = 3582442217554495488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1338365087) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2323263 + ... + 2323838.

Almost surely, 2^1338365088 is an apocalyptic number.

1338365088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1338365088 is an abundant number, since it is smaller than the sum of its proper divisors (2467611450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1338365088 is a wasteful number, since it uses less digits than its factorization.

1338365088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647117 (or 4647106 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1338365088 is about 36583.6724236373. The cubic root of 1338365088 is about 1102.0252189270.

The spelling of 1338365088 in words is "one billion, three hundred thirty-eight million, three hundred sixty-five thousand, eighty-eight".